The effect of asymmetry of interparticle interaction potential on the spatial shift of solitary wave scattering in one-dimensional generalized FPU-αβ lattice model are investigated.The system has two types of solitary wave, Kink and Antikink. The numerical result shows that with the increase of asymmetry the spatial shift decreases for the scattering between same types of solitary wave,while increases for the scattering between different types. To explain the above result, FPU-αβ lattice model as two particle system with nonlinear interaction under special collision configuration is approximately generalized. By solving the dynamical equation of two particle system, it can be found that the absolute value of maximum relative displacement between particles decreases with the increase of asymmetry when the total energy is determined. Furthermore, when removing the spacing between two equilibrium position of the micro particle, the maximum relative displacement is consistent with numerical result of spatial shift qualitatively.
ZHANG Nan, JIN Tao.
The effect of asymmetric inter-particle interactions onspatial shift of solitary wave scattering. Journal of Shaanxi Normal University(Natural Science Edition). 2016, 44(1): 34-38